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wel
2 years ago
7

How many solutions y= -2x -4 and y=3x plus 3

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
6 0

Answer:

The number of solutions is one

Step-by-step explanation:

Here, we want to get the number of solutions

since the linear equations are not the same, neither do they have the same x-variable, we can have only one solution

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Tanya took a cab from her home to the airport. Her total fare including a tip of $5.00, was $28.50. EZ Cab Company has a pick-up
ValentinkaMS [17]
16.2 miles.

Since she paid a $5 tip, the cost for her fare was $23.50.  Let x be the number of 0.2-mile increments in the trip:
23.50 = 2.50 + 1 + 0.25(x-1)

This equation comes from the 2.50 home pick-up fee; $1 for the first 0.2-mile increment; and 0.25 for each other 0.2-mile increment.

Using the distributive property, we have:
23.50 = 2.50 + 1 + 0.25*x - 0.25*1
23.50 = 2.50 + 1 + 0.25x - 0.25

Combining like terms,
23.50 = 0.25x + 2.75

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23.50 - 2.75 = 0.25x + 2.75 - 2.75
20.25 = 0.25x

Dividing both sides by 0.25, we have:
20.25/0.25 = 0.25x/0.25
81 = x

This means there are 81 0.2-mile increments in her trip.  81(0.2) = 16.2 miles
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3 years ago
How do you divide a whole number by a decimal? Example 9.00 divided by 6.75
sammy [17]

Answer to the example is 1.3 repeating

Step-by-step explanation:

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steposvetlana [31]

Answer:

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Find the value of x and then the measure of Arc XYZ and Arc XZ. Show work on a piece of paper.
Westkost [7]

<u>Given</u>:

The measure of arc XY is (31x)°

The measure of arc YZ is (35x - 16)°

We need to determine the value of x, measure of arc XYZ and arc XZ.

<u>Value of x:</u>

From the figure, it is obvious that the arcs XY and YZ are congruent.

Thus, we have;

31x=35x-16

Subtracting both sides by 35x, we have;

-4x=-16

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Thus, the value of x is 4.

<u>Measure of arc XYZ:</u>

The measure of arc XYZ is given by

m \widehat{XYZ}=m \widehat{XY}+m \widehat{YZ}

The measure of arc XY is given by

m \widehat{X Y}=31(4)=124^{\circ}

The measure of arc YZ is given by

m \widehat{Y Z}=35(4)-16=124^{\circ}

Hence, the measure of arc XYZ is given by

m \widehat{XYZ}=124^{\circ}+124^{\circ}=248^{\circ}

Therefore, the measure of arc XYZ is 248°

<u>Measure of arc XZ:</u>

The measure of arc XZ is given by

m \widehat{XZ}=360^{\circ}-m \widehat{XYZ}

Substituting the values, we have;

m \widehat{XZ}=360^{\circ}-248^{\circ}

m \widehat{XZ}=112^{\circ}

Thus, the measure of arc XZ is 112°

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3 years ago
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